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Vardhaman College of
Engineering.
Department of Mechanical
Engineering.
Course: Engineering Design.
Presented by:
M. Harsha
17881D9503.
Design of Spur Gear using Genetic Algorithm.
1
2
CONTENTS
Introduction to Genetic Algorithm.
Mutation.
Cross over, Selection.
Working Principle.
Termination Criteria.
Spur Gear Parameters.
Application of GA to Spur Gear.
Advantages of GA.
Conclusion.
References.
2
Metaheuristic inspired by the process of natural
selection.
Generate high-quality solutions to optimization.
Is an iterative process called as generation.
Value of the objective function in the optimization
problem will be solved.
3
3
Cells are basics of all living things.
So in each cell there must have set of
chromosomes. These are strings of DNA.
4
5
6
7
8
9
10
11
12
Spur Gear design using GA:
13
Objective Function is :
Minimise the centre distance of gears.
Minimise the Weight.
Minimise the tooth deflection.
Decision variable as :
Module, face width and number of teeth onpinion.(M,B,T).
Constraints : Bending stress, Contact stress.
14
 Centre Distance:
Smaller Gear sets.
Space occupancy.
 Gear Weight:
Less in weight
Material, which leads to cost reduction and easy
assembly.
Gear Tooth Deflection:
Minimum.
Failure
15
Constraints:
Functional Relationship.
Design variables & Design Parameters.
Bending Stress: Limited to maximum allowable BS.
Contact Stress: Smaller than the allowable CS.
Formulation:
Design Variables: x= ( m, b, t)
Objective Function : F(x) =f(x1) +f (x2) +f(x3)
Constraints : g1(x) < BS. Design
g2(x) < CS Design
16
Using Conventional Calculations & Genetic Algorithms.
For Data,
Power P = 8 KW.
Transmission ratio i = 3.2.
Speed of pinion Np = 720 rpm.
17
Advantages:
Quality Solutions in Complex engineering problems.
Solutions are better with time.
Easy to implement.
Same encode- changes the fitness value.
Multi objective optimization.
Disadvantages:
 Computational time
 Slower than some optimization processes.
Applications:
Engineering design.
Traffic and Shipment Routing. (Travelling Salesman
Problem).
Additive manufacturing.
Robotics Etc….
Inside this big group, there are many notable subsets,
such as:
1.Genetic programming (GP).
2.Evolution Strategies (ES).
18
19
CONCLUSIONS:
Since GA is random function search and optimization
technique, the chance of getting global optimum is more.
Using GA we can get optimality and best feasible solution
within the given conditions in objective function.
The results of proposed algorithm have been compared to
those of the traditional techniques, such as, graphical
technique for best feasible solution.
20

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03. Harsha GA.

  • 1. Vardhaman College of Engineering. Department of Mechanical Engineering. Course: Engineering Design. Presented by: M. Harsha 17881D9503. Design of Spur Gear using Genetic Algorithm. 1
  • 2. 2 CONTENTS Introduction to Genetic Algorithm. Mutation. Cross over, Selection. Working Principle. Termination Criteria. Spur Gear Parameters. Application of GA to Spur Gear. Advantages of GA. Conclusion. References. 2
  • 3. Metaheuristic inspired by the process of natural selection. Generate high-quality solutions to optimization. Is an iterative process called as generation. Value of the objective function in the optimization problem will be solved. 3 3
  • 4. Cells are basics of all living things. So in each cell there must have set of chromosomes. These are strings of DNA. 4
  • 5. 5
  • 6. 6
  • 7. 7
  • 8. 8
  • 9. 9
  • 10. 10
  • 11. 11
  • 12. 12
  • 13. Spur Gear design using GA: 13 Objective Function is : Minimise the centre distance of gears. Minimise the Weight. Minimise the tooth deflection. Decision variable as : Module, face width and number of teeth onpinion.(M,B,T). Constraints : Bending stress, Contact stress.
  • 14. 14  Centre Distance: Smaller Gear sets. Space occupancy.  Gear Weight: Less in weight Material, which leads to cost reduction and easy assembly. Gear Tooth Deflection: Minimum. Failure
  • 15. 15 Constraints: Functional Relationship. Design variables & Design Parameters. Bending Stress: Limited to maximum allowable BS. Contact Stress: Smaller than the allowable CS. Formulation: Design Variables: x= ( m, b, t) Objective Function : F(x) =f(x1) +f (x2) +f(x3) Constraints : g1(x) < BS. Design g2(x) < CS Design
  • 16. 16 Using Conventional Calculations & Genetic Algorithms. For Data, Power P = 8 KW. Transmission ratio i = 3.2. Speed of pinion Np = 720 rpm.
  • 17. 17 Advantages: Quality Solutions in Complex engineering problems. Solutions are better with time. Easy to implement. Same encode- changes the fitness value. Multi objective optimization. Disadvantages:  Computational time  Slower than some optimization processes.
  • 18. Applications: Engineering design. Traffic and Shipment Routing. (Travelling Salesman Problem). Additive manufacturing. Robotics Etc…. Inside this big group, there are many notable subsets, such as: 1.Genetic programming (GP). 2.Evolution Strategies (ES). 18
  • 19. 19 CONCLUSIONS: Since GA is random function search and optimization technique, the chance of getting global optimum is more. Using GA we can get optimality and best feasible solution within the given conditions in objective function. The results of proposed algorithm have been compared to those of the traditional techniques, such as, graphical technique for best feasible solution.
  • 20. 20